Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

A hyperbola with vertices (±4, 0) and directrices x = ±2

Solution 40RE

Step 1:

Given that

A hyperbola with vertices (±4, 0) and directrices x = ±2